Base | Representation |
---|---|
bin | 111100101100011… |
… | …011000100000000 |
3 | 2121222001220000100 |
4 | 330230123010000 |
5 | 4041134400034 |
6 | 245013122400 |
7 | 34143135642 |
oct | 7454330400 |
9 | 2558056010 |
10 | 1018278144 |
11 | 482878494 |
12 | 245029400 |
13 | 132c69960 |
14 | 99348892 |
15 | 5e5e2099 |
hex | 3cb1b100 |
1018278144 has 108 divisors (see below), whose sum is σ = 3161881996. Its totient is φ = 313307136.
The previous prime is 1018278101. The next prime is 1018278167. The reversal of 1018278144 is 4418728101.
It can be written as a sum of positive squares in 2 ways, for example, as 368640000 + 649638144 = 19200^2 + 25488^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1018278099 and 1018278108.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12954 + ... + 46950.
Almost surely, 21018278144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1018278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580940998).
1018278144 is an abundant number, since it is smaller than the sum of its proper divisors (2143603852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1018278144 is a wasteful number, since it uses less digits than its factorization.
1018278144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34032 (or 34015 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 36.
The square root of 1018278144 is about 31910.4707580443. The cubic root of 1018278144 is about 1006.0559659099.
The spelling of 1018278144 in words is "one billion, eighteen million, two hundred seventy-eight thousand, one hundred forty-four".
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